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Example

Evaluating 3x2−2xy+6y23x^2 - 2xy + 6y^2 when x=1x = 1 and y=−2y = -2

Use the order of operations and substitute the given values using parentheses to evaluate the expression 3x2−2xy+6y23x^2 - 2xy + 6y^2 when x=1x = 1 and y=−2y = -2:

  1. Substitute: Replace xx with 11 and yy with −2-2: 3(1)2−2(1)(−2)+6(−2)23(1)^2 - 2(1)(-2) + 6(-2)^2.
  2. Simplify exponents: Evaluate (1)2=1(1)^2 = 1 and (−2)2=4(-2)^2 = 4. The expression becomes 3(1)−2(1)(−2)+6(4)3(1) - 2(1)(-2) + 6(4).
  3. Multiply: Perform multiplications left to right: 3(1)=33(1) = 3, 2(1)(−2)=−42(1)(-2) = -4, and 6(4)=246(4) = 24. The expression becomes 3−(−4)+243 - (-4) + 24.
  4. Subtract: The subtraction 3−(−4)3 - (-4) becomes 3+4=73 + 4 = 7. The expression becomes 7+247 + 24.
  5. Add: 7+24=317 + 24 = 31.

The resulting value is 3131.

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Updated 2026-07-03

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